Finding the Fourth Proportional to 2,186.40, 3,279.72 and 1,823.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,186.40 : 3,279.72 = 1,823.76 : x
2. Step 2: Convert to fraction form
   2,186.40/3,279.72 = 1,823.76/x
3. Step 3: Cross multiply
   2,186.40x = 3,279.72 × 1,823.76
4. Step 4: Simplify right side
   2,186.40x = 5,981,422.15
5. Step 5: Solve for x
   x = 5,981,422.15/2,186.40
6. Step 6: Final answer
   x = 2,735.74